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Finding the Fourth Proportional to 364.92, 547.68 and 191.63

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Solution

The fourth proportional to 364.92, 547.68 and 191.63 is: 287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 547.68 = 191.63 : x
  2. Step 2: Convert to fraction form
    364.92/547.68 = 191.63/x
  3. Step 3: Cross multiply
    364.92x = 547.68 × 191.63
  4. Step 4: Simplify right side
    364.92x = 104,948.22
  5. Step 5: Solve for x
    x = 104,948.22/364.92
  6. Step 6: Final answer
    x = 287.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.